541367763145 has 12 divisors (see below), whose sum is σ = 714068554500. Its totient is φ = 393722009120.

The previous prime is 541367763137. The next prime is 541367763169.

541367763145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 152859886729 + 388507876416 = 390973^2 + 623304^2 .

It is not a de Polignac number, because 541367763145 - 2³ = 541367763137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 541367763092 and 541367763101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447410770 + ... + 447411979.

It is an arithmetic number, because the mean of its divisors is an integer number (59505712875).

Almost surely, 2^541367763145 is an apocalyptic number.

541367763145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541367763145 is a deficient number, since it is larger than the sum of its proper divisors (172700791355).

541367763145 is a wasteful number, since it uses less digits than its factorization.

541367763145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894822776 (or 894822765 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 52.

The spelling of 541367763145 in words is "five hundred forty-one billion, three hundred sixty-seven million, seven hundred sixty-three thousand, one hundred forty-five".